Hessenberg-Triangular Reduction and Transfer Function Matrices of Singular Systems

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Abstract

The author is concerned with the computation of transfer function matrices of linear multivariable systems described by their generalized state-space equations. An algorithm is outlined that may be considered a generalization of an existing technique for computation of transfer matrices of systems described by standard state-space equations. The proposed algorithm can be used for evaluating transfer function matrices of nonsingular as well as singular generalized systems, and performs satisfactorily when implemented with finite-precision arithmetic. Several examples are included to demonstrate the performance of the proposed algorithm.
Original languageEnglish
Pages (from-to)907-912
Number of pages6
JournalIEEE transactions on circuits and systems
Volume36
Issue number6
DOIs
StatePublished - Jun 1989

ASJC Scopus Subject Areas

  • General Engineering

Keywords

  • Transfer functions
  • Tree graphs
  • Equations
  • MIMO
  • Graph theory
  • Military computing
  • Circuits and systems
  • Arithmetic
  • Erbium
  • Enterprise resource planning

Disciplines

  • Electrical and Computer Engineering

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